Transformations of elliptic hypergeometric integrals

By Eric M. Rains. 2010

203 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ff1cca62eadbde1707c116a913537081e778a428

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In Applied Mathematics

In Computational Theory and Mathematics

In Geometry and Topology

Citations in the corpus

FROM 4d SUPERCONFORMAL INDICES TO 3d PARTITION FUNCTIONS (2011, background): “The equality of indices IE = IM was established in [4] as a direct consequence of the integral identities proved in [35] for N = 1 and in [36] for arbitrary N .”
Elliptic Hypergeometry of Supersymmetric Dualities (2009, methodology): “10) served as an entry ticket to the large class of new exactly computable integrals discussed in [19, 20, 21, 65, 83, 93], which is essentially extended by the conjectures presented in this paper.”
Essays on the theory of elliptic hypergeometric functions (2008, background): “mogeneous in the Cn-case) with the ﬁxed product into two groups with n+ 2 elements. This integration formula was proposed and partially justiﬁed in [11], various diﬀerent complete proofs are given in [34, 43]. In the simplest possible p→ 0 limit there appears one of the Gustafson integrals [95]. ELL”
The superconformal index of the E6 SCFT (2010, background): “The usual S-duality of Nf = 2n SU(n) theories implies that this identity should be true for any n. Note that for t = v this is a special case of identities discussed in [ 21 ].”
The geometry of supersymmetric partition functions (2013, background): “Explicit computations of the index (see for instance [33-36]) give rise to a class of special functions that has recently been studied in the mathematical literature (see for instance [37-39,34-36] and references therein).”
S-duality and 2d topological QFT (2009, background): “Unlike our N = 2 superconformal cases, there is no continuous deformation relating two Seiberg-dual theories, and it is not a priori obvious that their indices, evaluated at the free UV fixed points, should coincide – but it turns out that they do, thanks to identities satisfied by these multivariat”
Supersymmetry on curved spaces and holography (2012, background): “In fact, it involves recently discovered identities on elliptic hypergeometric integrals [26, 27].”
Applications of the superconformal index for protected operators and q-hypergeometric identities to N=1 dual theories (2008, methodology): “tching between the multi-particle indices for the general (Nc,Nf) case of Seiberg duality boils down to a theorem for the transformations 20 of certain elliptic hypergeometric integrals, due to Rains [15]. The exact results here apply just to the Seiberg dual theories described in section 3. For the”